Lie Superalgebra Stability and Branes
Chryssomalis Chryssomalakos
TL;DR
This paper discusses the instability of the translation algebra in superspace and how superspace extensions stabilize it, enhancing the understanding of branes in theories with extra dimensions.
Contribution
It introduces superspace extensions as a solution to algebra instability and reviews their advantages in describing various branes.
Findings
Superspace translation algebra is inherently unstable.
Extensions of superspace stabilize the algebra.
Enhanced description of branes with extra dimensions.
Abstract
The algebra of the generators of translations in superspace is unstable, in the sense that infinitesimal perturbations of its structure constants lead to non-isomorphic algebras. We show how superspace extensions remedy this situation (after arguing that remedy is indeed needed) and review the benefits reaped in the description of branes of all kinds in the presence of the extra dimensions.
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